AI 中文总结
研究夸克-胶子等离子体中重夸克间自旋相互作用，通过计算自旋相关势的\(\mathcal{O}(1/M^2)\)修正项，用格点技术非微扰提取虚部，发现其在夸克-胶子等离子体相是复的，虚部对粲夸克偶素态热静态势贡献显著。
AI 中文摘要
我们计算了自旋相关势，它是非相对论性量子色动力学中静态夸克-反夸克对热势的\(\mathcal{O}(1/M^2)\)修正项。在硬热圈微扰理论的主导阶，我们表明该自旋相关势有虚部，其大小在赝标量和矢量夸克偶素态中不同。首次在\(T\sim470\) MeV的淬火QCD解禁闭相中，用格点技术非微扰地提取虚部，经连续统估计和重正化后，发现夸克-胶子等离子体相中的自旋相关势是复的，其虚部对粲夸克偶素态的热静态势有显著贡献，还讨论了热自旋相关势对夸克偶素谱函数的影响。
英文摘要
We calculate the spin-dependent potential, which is the $\mathcal{O}(1/M^2)$ correction term to the thermal potential between a static quark-antiquark pair within non-relativistic QCD. At leading order in hard thermal loop perturbation theory, we show that this spin-dependent potential has an imaginary part which is different in magnitude for pseudoscalar and vector quarkonium states. For the first time, we extract the imaginary part non-perturbatively using lattice techniques, in the deconfined phase of quenched QCD at $T\sim 470$ MeV, after performing a continuum estimation and subsequent renormalization. We have found that the spin-dependent potential in the quark-gluon plasma phase is complex, and its imaginary part has a remarkably significant contribution over the thermal static potential for charmonium states. Consequences of this thermal spin-dependent potential on the quarkonium spectral functions are also discussed.
